2398838400 has 576 divisors, whose sum is σ = 9977248320. Its totient is φ = 537477120.

The previous prime is 2398838381. The next prime is 2398838417. The reversal of 2398838400 is 48388932.

2398838400 is a `hidden beast` number, since 239 + 8 + 8 + 3 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14716719 + ... + 14716881.

Almost surely, 2^2398838400 is an apocalyptic number.

2398838400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2398838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4988624160).

2398838400 is an abundant number, since it is smaller than the sum of its proper divisors (7578409920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2398838400 is a wasteful number, since it uses less digits than its factorization.

2398838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2398838400 is about 48977.9378904421. The cubic root of 2398838400 is about 1338.6498616078.

The spelling of 2398838400 in words is "two billion, three hundred ninety-eight million, eight hundred thirty-eight thousand, four hundred".